Question

5. Find three consecutive numbers such that the sum of the first and second is 15 more than the third. thre than the second and the second number is​

Answer 1

Step-by-step explanation:

let three consecutive numbers be

$(x - 1)$

$(x)$

$(x + 1)$

this three Eqns always be a three consecutive numbers for every value of x

now sum of first and second is fifteen more than the third

$(x - 1) \: + \: (x) \: = 15 + (x + 1)$

$x - 1 + x = 15 + x + 1$

$2x - 1 = 16 + x$

$2x - x = 16 + 1$

$x = 17$

so three numbers are

$(x - 1) = (17 - 1) = \: \: 16$

$x = 17 = \: \: 17$

$(x + 1) = (17 + 1) = 18$

so second number is

$17$